!10 ft 8.5 ft 13.75 ft Figure 20

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
icon
Related questions
Question

For an NBA regulation basketball court, the hoop is 10 feet above the ground, and the horizontal distance from the center of the hoop to the free throw line is 13.75 feet.
In making a free throw, the player releases the ball approximately 8.5 feet directly above the free throw line (see Figure 20). The ball reaches the center of the hoop 0.98 second later. The path of the ball can be described by the parametric equations
x = (|V0| cos θ)t
y = (|V0| sin θ)t -16t2 + 8.5
where x is the distance (in feet) traveled horizontally and y is the height (in feet) of the ball above the ground t seconds after the ball is released. Find the initial speed |V0| and the angle θ at which the basketball is thrown.

 

!10 ft
8.5 ft
13.75 ft
Figure 20
Transcribed Image Text:!10 ft 8.5 ft 13.75 ft Figure 20
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Fundamental Theorem
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning